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Finding the Fourth Proportional to 8,009.60, 11,047.04 and 5,356.16

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Solution

The fourth proportional to 8,009.60, 11,047.04 and 5,356.16 is: 7,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.60 : 11,047.04 = 5,356.16 : x
  2. Step 2: Convert to fraction form
    8,009.60/11,047.04 = 5,356.16/x
  3. Step 3: Cross multiply
    8,009.60x = 11,047.04 × 5,356.16
  4. Step 4: Simplify right side
    8,009.60x = 59,169,713.77
  5. Step 5: Solve for x
    x = 59,169,713.77/8,009.60
  6. Step 6: Final answer
    x = 7,387.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.