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Finding the Fourth Proportional to 10,037.84, 13,852.31 and 5,561.64

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Solution

The fourth proportional to 10,037.84, 13,852.31 and 5,561.64 is: 7,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.84 : 13,852.31 = 5,561.64 : x
  2. Step 2: Convert to fraction form
    10,037.84/13,852.31 = 5,561.64/x
  3. Step 3: Cross multiply
    10,037.84x = 13,852.31 × 5,561.64
  4. Step 4: Simplify right side
    10,037.84x = 77,041,533.58
  5. Step 5: Solve for x
    x = 77,041,533.58/10,037.84
  6. Step 6: Final answer
    x = 7,675.11

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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.