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Finding the Fourth Proportional to 10,533.98, 15,810.54 and 5,607.78

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Solution

The fourth proportional to 10,533.98, 15,810.54 and 5,607.78 is: 8,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.98 : 15,810.54 = 5,607.78 : x
  2. Step 2: Convert to fraction form
    10,533.98/15,810.54 = 5,607.78/x
  3. Step 3: Cross multiply
    10,533.98x = 15,810.54 × 5,607.78
  4. Step 4: Simplify right side
    10,533.98x = 88,662,030.00
  5. Step 5: Solve for x
    x = 88,662,030.00/10,533.98
  6. Step 6: Final answer
    x = 8,416.76

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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.