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Finding the Fourth Proportional to 11,465.99, 15,822.51 and 6,430.76

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Solution

The fourth proportional to 11,465.99, 15,822.51 and 6,430.76 is: 8,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.99 : 15,822.51 = 6,430.76 : x
  2. Step 2: Convert to fraction form
    11,465.99/15,822.51 = 6,430.76/x
  3. Step 3: Cross multiply
    11,465.99x = 15,822.51 × 6,430.76
  4. Step 4: Simplify right side
    11,465.99x = 101,750,764.41
  5. Step 5: Solve for x
    x = 101,750,764.41/11,465.99
  6. Step 6: Final answer
    x = 8,874.14

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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.