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Finding the Fourth Proportional to 10,427.52, 15,637.62 and 3,030

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Solution

The fourth proportional to 10,427.52, 15,637.62 and 3,030 is: 4,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.52 : 15,637.62 = 3,030 : x
  2. Step 2: Convert to fraction form
    10,427.52/15,637.62 = 3,030/x
  3. Step 3: Cross multiply
    10,427.52x = 15,637.62 × 3,030
  4. Step 4: Simplify right side
    10,427.52x = 47,381,988.60
  5. Step 5: Solve for x
    x = 47,381,988.60/10,427.52
  6. Step 6: Final answer
    x = 4,543.94

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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.