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Finding the Fourth Proportional to 11,518.16, 15,890.06 and 7,042.10

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Solution

The fourth proportional to 11,518.16, 15,890.06 and 7,042.10 is: 9,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.16 : 15,890.06 = 7,042.10 : x
  2. Step 2: Convert to fraction form
    11,518.16/15,890.06 = 7,042.10/x
  3. Step 3: Cross multiply
    11,518.16x = 15,890.06 × 7,042.10
  4. Step 4: Simplify right side
    11,518.16x = 111,899,356.32
  5. Step 5: Solve for x
    x = 111,899,356.32/11,518.16
  6. Step 6: Final answer
    x = 9,715.04

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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.