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Finding the Fourth Proportional to 10,210.76, 15,309.98 and 4,587.40

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Solution

The fourth proportional to 10,210.76, 15,309.98 and 4,587.40 is: 6,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.76 : 15,309.98 = 4,587.40 : x
  2. Step 2: Convert to fraction form
    10,210.76/15,309.98 = 4,587.40/x
  3. Step 3: Cross multiply
    10,210.76x = 15,309.98 × 4,587.40
  4. Step 4: Simplify right side
    10,210.76x = 70,233,002.25
  5. Step 5: Solve for x
    x = 70,233,002.25/10,210.76
  6. Step 6: Final answer
    x = 6,878.33

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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.