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Finding the Fourth Proportional to 10,567.52, 14,569.94 and 6,784.01

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Solution

The fourth proportional to 10,567.52, 14,569.94 and 6,784.01 is: 9,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.52 : 14,569.94 = 6,784.01 : x
  2. Step 2: Convert to fraction form
    10,567.52/14,569.94 = 6,784.01/x
  3. Step 3: Cross multiply
    10,567.52x = 14,569.94 × 6,784.01
  4. Step 4: Simplify right side
    10,567.52x = 98,842,618.66
  5. Step 5: Solve for x
    x = 98,842,618.66/10,567.52
  6. Step 6: Final answer
    x = 9,353.44

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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.