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Finding the Fourth Proportional to 28,365.04, 42,547.56 and 7,588

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Solution

The fourth proportional to 28,365.04, 42,547.56 and 7,588 is: 11,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,365.04 : 42,547.56 = 7,588 : x
  2. Step 2: Convert to fraction form
    28,365.04/42,547.56 = 7,588/x
  3. Step 3: Cross multiply
    28,365.04x = 42,547.56 × 7,588
  4. Step 4: Simplify right side
    28,365.04x = 322,850,885.28
  5. Step 5: Solve for x
    x = 322,850,885.28/28,365.04
  6. Step 6: Final answer
    x = 11,382.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.