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Finding the Fourth Proportional to 10,535.84, 15,808.01 and 4,688.45

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Solution

The fourth proportional to 10,535.84, 15,808.01 and 4,688.45 is: 7,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.84 : 15,808.01 = 4,688.45 : x
  2. Step 2: Convert to fraction form
    10,535.84/15,808.01 = 4,688.45/x
  3. Step 3: Cross multiply
    10,535.84x = 15,808.01 × 4,688.45
  4. Step 4: Simplify right side
    10,535.84x = 74,114,962.00
  5. Step 5: Solve for x
    x = 74,114,962.00/10,535.84
  6. Step 6: Final answer
    x = 7,034.56

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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.