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Finding the Fourth Proportional to 11,146.76, 15,384.80 and 6,430.40

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Solution

The fourth proportional to 11,146.76, 15,384.80 and 6,430.40 is: 8,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.76 : 15,384.80 = 6,430.40 : x
  2. Step 2: Convert to fraction form
    11,146.76/15,384.80 = 6,430.40/x
  3. Step 3: Cross multiply
    11,146.76x = 15,384.80 × 6,430.40
  4. Step 4: Simplify right side
    11,146.76x = 98,930,417.92
  5. Step 5: Solve for x
    x = 98,930,417.92/11,146.76
  6. Step 6: Final answer
    x = 8,875.26

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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.