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Finding the Fourth Proportional to 10,300.69, 15,438.68 and 4,746.41

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Solution

The fourth proportional to 10,300.69, 15,438.68 and 4,746.41 is: 7,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.69 : 15,438.68 = 4,746.41 : x
  2. Step 2: Convert to fraction form
    10,300.69/15,438.68 = 4,746.41/x
  3. Step 3: Cross multiply
    10,300.69x = 15,438.68 × 4,746.41
  4. Step 4: Simplify right side
    10,300.69x = 73,278,281.41
  5. Step 5: Solve for x
    x = 73,278,281.41/10,300.69
  6. Step 6: Final answer
    x = 7,113.92

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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.