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Finding the Fourth Proportional to 10,459.42, 15,689.28 and 3,064.02

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Solution

The fourth proportional to 10,459.42, 15,689.28 and 3,064.02 is: 4,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.42 : 15,689.28 = 3,064.02 : x
  2. Step 2: Convert to fraction form
    10,459.42/15,689.28 = 3,064.02/x
  3. Step 3: Cross multiply
    10,459.42x = 15,689.28 × 3,064.02
  4. Step 4: Simplify right side
    10,459.42x = 48,072,267.71
  5. Step 5: Solve for x
    x = 48,072,267.71/10,459.42
  6. Step 6: Final answer
    x = 4,596.07

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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.