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Finding the Fourth Proportional to 10,594.42, 15,894.25 and 7,480.53

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Solution

The fourth proportional to 10,594.42, 15,894.25 and 7,480.53 is: 11,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.42 : 15,894.25 = 7,480.53 : x
  2. Step 2: Convert to fraction form
    10,594.42/15,894.25 = 7,480.53/x
  3. Step 3: Cross multiply
    10,594.42x = 15,894.25 × 7,480.53
  4. Step 4: Simplify right side
    10,594.42x = 118,897,371.59
  5. Step 5: Solve for x
    x = 118,897,371.59/10,594.42
  6. Step 6: Final answer
    x = 11,222.64

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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.