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Finding the Fourth Proportional to 25,803, 38,711.00 and 7,335

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Solution

The fourth proportional to 25,803, 38,711.00 and 7,335 is: 11,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803 : 38,711.00 = 7,335 : x
  2. Step 2: Convert to fraction form
    25,803/38,711.00 = 7,335/x
  3. Step 3: Cross multiply
    25,803x = 38,711.00 × 7,335
  4. Step 4: Simplify right side
    25,803x = 283,945,203.34
  5. Step 5: Solve for x
    x = 283,945,203.34/25,803
  6. Step 6: Final answer
    x = 11,004.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.