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Finding the Fourth Proportional to 10,070.74, 15,111.24 and 7,128.10

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Solution

The fourth proportional to 10,070.74, 15,111.24 and 7,128.10 is: 10,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.74 : 15,111.24 = 7,128.10 : x
  2. Step 2: Convert to fraction form
    10,070.74/15,111.24 = 7,128.10/x
  3. Step 3: Cross multiply
    10,070.74x = 15,111.24 × 7,128.10
  4. Step 4: Simplify right side
    10,070.74x = 107,714,429.84
  5. Step 5: Solve for x
    x = 107,714,429.84/10,070.74
  6. Step 6: Final answer
    x = 10,695.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.