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Finding the Fourth Proportional to 10,254.40, 15,377.10 and 4,705.90

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Solution

The fourth proportional to 10,254.40, 15,377.10 and 4,705.90 is: 7,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.40 : 15,377.10 = 4,705.90 : x
  2. Step 2: Convert to fraction form
    10,254.40/15,377.10 = 4,705.90/x
  3. Step 3: Cross multiply
    10,254.40x = 15,377.10 × 4,705.90
  4. Step 4: Simplify right side
    10,254.40x = 72,363,094.89
  5. Step 5: Solve for x
    x = 72,363,094.89/10,254.40
  6. Step 6: Final answer
    x = 7,056.78

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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.