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Finding the Fourth Proportional to 10,038.94, 15,054.01 and 5,357.88

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Solution

The fourth proportional to 10,038.94, 15,054.01 and 5,357.88 is: 8,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.94 : 15,054.01 = 5,357.88 : x
  2. Step 2: Convert to fraction form
    10,038.94/15,054.01 = 5,357.88/x
  3. Step 3: Cross multiply
    10,038.94x = 15,054.01 × 5,357.88
  4. Step 4: Simplify right side
    10,038.94x = 80,657,565.70
  5. Step 5: Solve for x
    x = 80,657,565.70/10,038.94
  6. Step 6: Final answer
    x = 8,034.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.