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Finding the Fourth Proportional to 10,980.34, 15,151.89 and 6,503.29

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Solution

The fourth proportional to 10,980.34, 15,151.89 and 6,503.29 is: 8,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.34 : 15,151.89 = 6,503.29 : x
  2. Step 2: Convert to fraction form
    10,980.34/15,151.89 = 6,503.29/x
  3. Step 3: Cross multiply
    10,980.34x = 15,151.89 × 6,503.29
  4. Step 4: Simplify right side
    10,980.34x = 98,537,134.72
  5. Step 5: Solve for x
    x = 98,537,134.72/10,980.34
  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.