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Finding the Fourth Proportional to 10,530.04, 14,530.74 and 5,813.32

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Solution

The fourth proportional to 10,530.04, 14,530.74 and 5,813.32 is: 8,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.04 : 14,530.74 = 5,813.32 : x
  2. Step 2: Convert to fraction form
    10,530.04/14,530.74 = 5,813.32/x
  3. Step 3: Cross multiply
    10,530.04x = 14,530.74 × 5,813.32
  4. Step 4: Simplify right side
    10,530.04x = 84,471,841.46
  5. Step 5: Solve for x
    x = 84,471,841.46/10,530.04
  6. Step 6: Final answer
    x = 8,021.99

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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.