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Finding the Fourth Proportional to 10,612.45, 15,916.64 and 10,085.61

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Solution

The fourth proportional to 10,612.45, 15,916.64 and 10,085.61 is: 15,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.45 : 15,916.64 = 10,085.61 : x
  2. Step 2: Convert to fraction form
    10,612.45/15,916.64 = 10,085.61/x
  3. Step 3: Cross multiply
    10,612.45x = 15,916.64 × 10,085.61
  4. Step 4: Simplify right side
    10,612.45x = 160,529,032.81
  5. Step 5: Solve for x
    x = 160,529,032.81/10,612.45
  6. Step 6: Final answer
    x = 15,126.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.