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Finding the Fourth Proportional to 10,929.98, 15,082.93 and 6,455.17

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Solution

The fourth proportional to 10,929.98, 15,082.93 and 6,455.17 is: 8,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.98 : 15,082.93 = 6,455.17 : x
  2. Step 2: Convert to fraction form
    10,929.98/15,082.93 = 6,455.17/x
  3. Step 3: Cross multiply
    10,929.98x = 15,082.93 × 6,455.17
  4. Step 4: Simplify right side
    10,929.98x = 97,362,823.40
  5. Step 5: Solve for x
    x = 97,362,823.40/10,929.98
  6. Step 6: Final answer
    x = 8,907.87

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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.