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Finding the Fourth Proportional to 10,291.47, 15,438.15 and 4,746.35

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Solution

The fourth proportional to 10,291.47, 15,438.15 and 4,746.35 is: 7,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.47 : 15,438.15 = 4,746.35 : x
  2. Step 2: Convert to fraction form
    10,291.47/15,438.15 = 4,746.35/x
  3. Step 3: Cross multiply
    10,291.47x = 15,438.15 × 4,746.35
  4. Step 4: Simplify right side
    10,291.47x = 73,274,786.06
  5. Step 5: Solve for x
    x = 73,274,786.06/10,291.47
  6. Step 6: Final answer
    x = 7,119.95

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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.