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Finding the Fourth Proportional to 10,555.89, 15,833.85 and 7,259.01

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Solution

The fourth proportional to 10,555.89, 15,833.85 and 7,259.01 is: 10,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.89 : 15,833.85 = 7,259.01 : x
  2. Step 2: Convert to fraction form
    10,555.89/15,833.85 = 7,259.01/x
  3. Step 3: Cross multiply
    10,555.89x = 15,833.85 × 7,259.01
  4. Step 4: Simplify right side
    10,555.89x = 114,938,075.49
  5. Step 5: Solve for x
    x = 114,938,075.49/10,555.89
  6. Step 6: Final answer
    x = 10,888.53

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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.