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Finding the Fourth Proportional to 11,924.80, 16,455.63 and 6,547.10

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Solution

The fourth proportional to 11,924.80, 16,455.63 and 6,547.10 is: 9,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.80 : 16,455.63 = 6,547.10 : x
  2. Step 2: Convert to fraction form
    11,924.80/16,455.63 = 6,547.10/x
  3. Step 3: Cross multiply
    11,924.80x = 16,455.63 × 6,547.10
  4. Step 4: Simplify right side
    11,924.80x = 107,736,655.17
  5. Step 5: Solve for x
    x = 107,736,655.17/11,924.80
  6. Step 6: Final answer
    x = 9,034.67

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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.