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Finding the Fourth Proportional to 10,507.95, 14,501.66 and 6,033.15

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Solution

The fourth proportional to 10,507.95, 14,501.66 and 6,033.15 is: 8,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.95 : 14,501.66 = 6,033.15 : x
  2. Step 2: Convert to fraction form
    10,507.95/14,501.66 = 6,033.15/x
  3. Step 3: Cross multiply
    10,507.95x = 14,501.66 × 6,033.15
  4. Step 4: Simplify right side
    10,507.95x = 87,490,659.86
  5. Step 5: Solve for x
    x = 87,490,659.86/10,507.95
  6. Step 6: Final answer
    x = 8,326.14

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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.