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Finding the Fourth Proportional to 10,254.60, 15,386.76 and 5,875.74

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Solution

The fourth proportional to 10,254.60, 15,386.76 and 5,875.74 is: 8,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.60 : 15,386.76 = 5,875.74 : x
  2. Step 2: Convert to fraction form
    10,254.60/15,386.76 = 5,875.74/x
  3. Step 3: Cross multiply
    10,254.60x = 15,386.76 × 5,875.74
  4. Step 4: Simplify right side
    10,254.60x = 90,408,601.20
  5. Step 5: Solve for x
    x = 90,408,601.20/10,254.60
  6. Step 6: Final answer
    x = 8,816.39

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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.