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Finding the Fourth Proportional to 28,457.78, 42,686.68 and 7,681.28

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Solution

The fourth proportional to 28,457.78, 42,686.68 and 7,681.28 is: 11,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,457.78 : 42,686.68 = 7,681.28 : x
  2. Step 2: Convert to fraction form
    28,457.78/42,686.68 = 7,681.28/x
  3. Step 3: Cross multiply
    28,457.78x = 42,686.68 × 7,681.28
  4. Step 4: Simplify right side
    28,457.78x = 327,888,341.35
  5. Step 5: Solve for x
    x = 327,888,341.35/28,457.78
  6. Step 6: Final answer
    x = 11,521.92

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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.