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Finding the Fourth Proportional to 10,610.64, 14,648.04 and 6,364.08

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Solution

The fourth proportional to 10,610.64, 14,648.04 and 6,364.08 is: 8,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.64 : 14,648.04 = 6,364.08 : x
  2. Step 2: Convert to fraction form
    10,610.64/14,648.04 = 6,364.08/x
  3. Step 3: Cross multiply
    10,610.64x = 14,648.04 × 6,364.08
  4. Step 4: Simplify right side
    10,610.64x = 93,221,298.40
  5. Step 5: Solve for x
    x = 93,221,298.40/10,610.64
  6. Step 6: Final answer
    x = 8,785.64

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