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Finding the Fourth Proportional to 10,547, 14,553.60 and 5,830.64

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Solution

The fourth proportional to 10,547, 14,553.60 and 5,830.64 is: 8,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547 : 14,553.60 = 5,830.64 : x
  2. Step 2: Convert to fraction form
    10,547/14,553.60 = 5,830.64/x
  3. Step 3: Cross multiply
    10,547x = 14,553.60 × 5,830.64
  4. Step 4: Simplify right side
    10,547x = 84,856,802.30
  5. Step 5: Solve for x
    x = 84,856,802.30/10,547
  6. Step 6: Final answer
    x = 8,045.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.