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Finding the Fourth Proportional to 7,312.12, 10,090.54 and 4,328.00

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Solution

The fourth proportional to 7,312.12, 10,090.54 and 4,328.00 is: 5,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.12 : 10,090.54 = 4,328.00 : x
  2. Step 2: Convert to fraction form
    7,312.12/10,090.54 = 4,328.00/x
  3. Step 3: Cross multiply
    7,312.12x = 10,090.54 × 4,328.00
  4. Step 4: Simplify right side
    7,312.12x = 43,671,849.92
  5. Step 5: Solve for x
    x = 43,671,849.92/7,312.12
  6. Step 6: Final answer
    x = 5,972.53

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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.