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Finding the Fourth Proportional to 10,497.35, 15,746.16 and 3,101.92

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Solution

The fourth proportional to 10,497.35, 15,746.16 and 3,101.92 is: 4,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.35 : 15,746.16 = 3,101.92 : x
  2. Step 2: Convert to fraction form
    10,497.35/15,746.16 = 3,101.92/x
  3. Step 3: Cross multiply
    10,497.35x = 15,746.16 × 3,101.92
  4. Step 4: Simplify right side
    10,497.35x = 48,843,328.63
  5. Step 5: Solve for x
    x = 48,843,328.63/10,497.35
  6. Step 6: Final answer
    x = 4,652.92

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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.