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Finding the Fourth Proportional to 10,070.40, 13,903.92 and 7,708.32

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Solution

The fourth proportional to 10,070.40, 13,903.92 and 7,708.32 is: 10,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.40 : 13,903.92 = 7,708.32 : x
  2. Step 2: Convert to fraction form
    10,070.40/13,903.92 = 7,708.32/x
  3. Step 3: Cross multiply
    10,070.40x = 13,903.92 × 7,708.32
  4. Step 4: Simplify right side
    10,070.40x = 107,175,864.61
  5. Step 5: Solve for x
    x = 107,175,864.61/10,070.40
  6. Step 6: Final answer
    x = 10,642.66

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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.