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Finding the Fourth Proportional to 10,917.34, 15,065.28 and 6,442.50

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Solution

The fourth proportional to 10,917.34, 15,065.28 and 6,442.50 is: 8,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.34 : 15,065.28 = 6,442.50 : x
  2. Step 2: Convert to fraction form
    10,917.34/15,065.28 = 6,442.50/x
  3. Step 3: Cross multiply
    10,917.34x = 15,065.28 × 6,442.50
  4. Step 4: Simplify right side
    10,917.34x = 97,058,066.40
  5. Step 5: Solve for x
    x = 97,058,066.40/10,917.34
  6. Step 6: Final answer
    x = 8,890.27

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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.