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Finding the Fourth Proportional to 7,643.34, 11,482.64 and 7,328.10

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Solution

The fourth proportional to 7,643.34, 11,482.64 and 7,328.10 is: 11,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.34 : 11,482.64 = 7,328.10 : x
  2. Step 2: Convert to fraction form
    7,643.34/11,482.64 = 7,328.10/x
  3. Step 3: Cross multiply
    7,643.34x = 11,482.64 × 7,328.10
  4. Step 4: Simplify right side
    7,643.34x = 84,145,897.54
  5. Step 5: Solve for x
    x = 84,145,897.54/7,643.34
  6. Step 6: Final answer
    x = 11,009.05

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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.