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Finding the Fourth Proportional to 10,980.32, 15,151.88 and 6,503.28

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Solution

The fourth proportional to 10,980.32, 15,151.88 and 6,503.28 is: 8,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.32 : 15,151.88 = 6,503.28 : x
  2. Step 2: Convert to fraction form
    10,980.32/15,151.88 = 6,503.28/x
  3. Step 3: Cross multiply
    10,980.32x = 15,151.88 × 6,503.28
  4. Step 4: Simplify right side
    10,980.32x = 98,536,918.17
  5. Step 5: Solve for x
    x = 98,536,918.17/10,980.32
  6. Step 6: Final answer
    x = 8,973.96

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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.