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Finding the Fourth Proportional to 7,335.95, 10,123.74 and 4,148.60

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Solution

The fourth proportional to 7,335.95, 10,123.74 and 4,148.60 is: 5,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.95 : 10,123.74 = 4,148.60 : x
  2. Step 2: Convert to fraction form
    7,335.95/10,123.74 = 4,148.60/x
  3. Step 3: Cross multiply
    7,335.95x = 10,123.74 × 4,148.60
  4. Step 4: Simplify right side
    7,335.95x = 41,999,327.02
  5. Step 5: Solve for x
    x = 41,999,327.02/7,335.95
  6. Step 6: Final answer
    x = 5,725.14

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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.