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Finding the Fourth Proportional to 10,875.48, 16,326.54 and 7,180.84

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Solution

The fourth proportional to 10,875.48, 16,326.54 and 7,180.84 is: 10,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.48 : 16,326.54 = 7,180.84 : x
  2. Step 2: Convert to fraction form
    10,875.48/16,326.54 = 7,180.84/x
  3. Step 3: Cross multiply
    10,875.48x = 16,326.54 × 7,180.84
  4. Step 4: Simplify right side
    10,875.48x = 117,238,271.49
  5. Step 5: Solve for x
    x = 117,238,271.49/10,875.48
  6. Step 6: Final answer
    x = 10,780.05

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