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Finding the Fourth Proportional to 11,340.95, 15,649.74 and 6,304.77

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Solution

The fourth proportional to 11,340.95, 15,649.74 and 6,304.77 is: 8,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.95 : 15,649.74 = 6,304.77 : x
  2. Step 2: Convert to fraction form
    11,340.95/15,649.74 = 6,304.77/x
  3. Step 3: Cross multiply
    11,340.95x = 15,649.74 × 6,304.77
  4. Step 4: Simplify right side
    11,340.95x = 98,668,011.26
  5. Step 5: Solve for x
    x = 98,668,011.26/11,340.95
  6. Step 6: Final answer
    x = 8,700.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.