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Finding the Fourth Proportional to 10,444.52, 15,669.48 and 4,602.80

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Solution

The fourth proportional to 10,444.52, 15,669.48 and 4,602.80 is: 6,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.52 : 15,669.48 = 4,602.80 : x
  2. Step 2: Convert to fraction form
    10,444.52/15,669.48 = 4,602.80/x
  3. Step 3: Cross multiply
    10,444.52x = 15,669.48 × 4,602.80
  4. Step 4: Simplify right side
    10,444.52x = 72,123,482.54
  5. Step 5: Solve for x
    x = 72,123,482.54/10,444.52
  6. Step 6: Final answer
    x = 6,905.39

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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.