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Finding the Fourth Proportional to 10,856.30, 14,977.71 and 6,605.62

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Solution

The fourth proportional to 10,856.30, 14,977.71 and 6,605.62 is: 9,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.30 : 14,977.71 = 6,605.62 : x
  2. Step 2: Convert to fraction form
    10,856.30/14,977.71 = 6,605.62/x
  3. Step 3: Cross multiply
    10,856.30x = 14,977.71 × 6,605.62
  4. Step 4: Simplify right side
    10,856.30x = 98,937,023.29
  5. Step 5: Solve for x
    x = 98,937,023.29/10,856.30
  6. Step 6: Final answer
    x = 9,113.33

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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.