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Finding the Fourth Proportional to 8,502.52, 11,710 and 7,323.16

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Solution

The fourth proportional to 8,502.52, 11,710 and 7,323.16 is: 10,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.52 : 11,710 = 7,323.16 : x
  2. Step 2: Convert to fraction form
    8,502.52/11,710 = 7,323.16/x
  3. Step 3: Cross multiply
    8,502.52x = 11,710 × 7,323.16
  4. Step 4: Simplify right side
    8,502.52x = 85,754,203.60
  5. Step 5: Solve for x
    x = 85,754,203.60/8,502.52
  6. Step 6: Final answer
    x = 10,085.74

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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.