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Finding the Fourth Proportional to 7,596.32, 10,407.01 and 7,312.29

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Solution

The fourth proportional to 7,596.32, 10,407.01 and 7,312.29 is: 10,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.32 : 10,407.01 = 7,312.29 : x
  2. Step 2: Convert to fraction form
    7,596.32/10,407.01 = 7,312.29/x
  3. Step 3: Cross multiply
    7,596.32x = 10,407.01 × 7,312.29
  4. Step 4: Simplify right side
    7,596.32x = 76,099,075.15
  5. Step 5: Solve for x
    x = 76,099,075.15/7,596.32
  6. Step 6: Final answer
    x = 10,017.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.