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Finding the Fourth Proportional to 10,785.76, 14,884.40 and 6,070.12

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Solution

The fourth proportional to 10,785.76, 14,884.40 and 6,070.12 is: 8,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.76 : 14,884.40 = 6,070.12 : x
  2. Step 2: Convert to fraction form
    10,785.76/14,884.40 = 6,070.12/x
  3. Step 3: Cross multiply
    10,785.76x = 14,884.40 × 6,070.12
  4. Step 4: Simplify right side
    10,785.76x = 90,350,094.13
  5. Step 5: Solve for x
    x = 90,350,094.13/10,785.76
  6. Step 6: Final answer
    x = 8,376.79

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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.